We study homogenization of fourth order elliptic operators Aε in divergence form with ε-periodic coefficients in ℝd and obtain an ε2-order approximation of the resolvents (Aε + 1)−1 in the energy operator (L2→H2)-norm as ε → 0.
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Translated from Problemy Matematicheskogo Analiza 108, 2021, pp. 125-137.
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Pastukhova, S.E. Improved Approximations of Resolvents in Homogenization of Fourth Order Operators. J Math Sci 255, 488–502 (2021). https://doi.org/10.1007/s10958-021-05387-2
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DOI: https://doi.org/10.1007/s10958-021-05387-2